Show that in a full binary tree with n internal vertices

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Reference no: EM131165835

The internal path length of a binary tree is the sum, taken over all internal (see Exercise 6.2-11) vertices of the tree, of the depth of the vertex. The external path length of a binary tree is the sum, taken over all leaf vertices of the tree, of the depth of the vertex. Show that in a full binary tree with n internal vertices, internal path length i and external path length e, we have e = i + 2n.

Reference no: EM131165835

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